GCF and LCM Calculator Logo
Home »
LCM Calculator

What is the Least Common Multiple of 36090 and 36108?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 36090 and 36108 is 72396540.

LCM(36090,36108) = 72396540

LCM Calculator and
and

Least Common Multiple of 36090 and 36108 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36090 and 36108, than apply into the LCM equation.

GCF(36090,36108) = 18
LCM(36090,36108) = ( 36090 × 36108) / 18
LCM(36090,36108) = 1303137720 / 18
LCM(36090,36108) = 72396540

Least Common Multiple (LCM) of 36090 and 36108 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36090 and 36108. First we will calculate the prime factors of 36090 and 36108.

Prime Factorization of 36090

Prime factors of 36090 are 2, 3, 5, 401. Prime factorization of 36090 in exponential form is:

36090 = 21 × 32 × 51 × 4011

Prime Factorization of 36108

Prime factors of 36108 are 2, 3, 17, 59. Prime factorization of 36108 in exponential form is:

36108 = 22 × 32 × 171 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 36090 and 36108.

LCM(36090,36108) = 22 × 32 × 51 × 4011 × 171 × 591
LCM(36090,36108) = 72396540

Related Least Common Multiples of 36090

Related Least Common Multiples of 36108