GCF and LCM Calculator Logo

What is the Least Common Multiple of 30945 and 30965?

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 30945 and 30965 is 191642385.

LCM(30945,30965) = 191642385

LCM Calculator and
and

Least Common Multiple of 30945 and 30965 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30945 and 30965, than apply into the LCM equation.

GCF(30945,30965) = 5
LCM(30945,30965) = ( 30945 × 30965) / 5
LCM(30945,30965) = 958211925 / 5
LCM(30945,30965) = 191642385

Least Common Multiple (LCM) of 30945 and 30965 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30945 and 30965. First we will calculate the prime factors of 30945 and 30965.

Prime Factorization of 30945

Prime factors of 30945 are 3, 5, 2063. Prime factorization of 30945 in exponential form is:

30945 = 31 × 51 × 20631

Prime Factorization of 30965

Prime factors of 30965 are 5, 11, 563. Prime factorization of 30965 in exponential form is:

30965 = 51 × 111 × 5631

Now multiplying the highest exponent prime factors to calculate the LCM of 30945 and 30965.

LCM(30945,30965) = 31 × 51 × 20631 × 111 × 5631
LCM(30945,30965) = 191642385