What is the Least Common Multiple of 73542 and 73556?

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 73542 and 73556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73542 and 73556, than apply into the LCM equation.

GCF(73542,73556) = 14
LCM(73542,73556) = ( 73542 × 73556) / 14
LCM(73542,73556) = 5409455352 / 14
LCM(73542,73556) = 386389668

Least Common Multiple (LCM) of 73542 and 73556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73542 and 73556. First we will calculate the prime factors of 73542 and 73556.

Prime Factorization of 73542

Prime Factorization of 73556

Now multiplying the highest exponent prime factors to calculate the LCM of 73542 and 73556.

LCM(73542,73556) = 2² × 3¹ × 7¹ × 17¹ × 103¹ × 37¹ × 71¹
LCM(73542,73556) = 386389668