What is the Least Common Multiple of 73654 and 73672?

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 of 73654 and 73672 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73654 and 73672, than apply into the LCM equation.

GCF(73654,73672) = 2
LCM(73654,73672) = ( 73654 × 73672) / 2
LCM(73654,73672) = 5426237488 / 2
LCM(73654,73672) = 2713118744

Least Common Multiple (LCM) of 73654 and 73672 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73654 and 73672. First we will calculate the prime factors of 73654 and 73672.

Prime Factorization of 73654

Prime Factorization of 73672

Now multiplying the highest exponent prime factors to calculate the LCM of 73654 and 73672.

LCM(73654,73672) = 2³ × 7¹ × 5261¹ × 9209¹
LCM(73654,73672) = 2713118744