GCF and LCM Calculator Logo

What is the Least Common Multiple of 73523 and 73534?

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 73523 and 73534 is 5406440282.

LCM(73523,73534) = 5406440282

LCM Calculator and
and

Least Common Multiple of 73523 and 73534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73523 and 73534, than apply into the LCM equation.

GCF(73523,73534) = 1
LCM(73523,73534) = ( 73523 × 73534) / 1
LCM(73523,73534) = 5406440282 / 1
LCM(73523,73534) = 5406440282

Least Common Multiple (LCM) of 73523 and 73534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73523 and 73534. First we will calculate the prime factors of 73523 and 73534.

Prime Factorization of 73523

Prime factors of 73523 are 73523. Prime factorization of 73523 in exponential form is:

73523 = 735231

Prime Factorization of 73534

Prime factors of 73534 are 2, 36767. Prime factorization of 73534 in exponential form is:

73534 = 21 × 367671

Now multiplying the highest exponent prime factors to calculate the LCM of 73523 and 73534.

LCM(73523,73534) = 735231 × 21 × 367671
LCM(73523,73534) = 5406440282