What is the Least Common Multiple of 74516 and 74536?

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 74516 and 74536 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74516 and 74536, than apply into the LCM equation.

GCF(74516,74536) = 4
LCM(74516,74536) = ( 74516 × 74536) / 4
LCM(74516,74536) = 5554124576 / 4
LCM(74516,74536) = 1388531144

Least Common Multiple (LCM) of 74516 and 74536 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74516 and 74536. First we will calculate the prime factors of 74516 and 74536.

Prime Factorization of 74516

Prime Factorization of 74536

Now multiplying the highest exponent prime factors to calculate the LCM of 74516 and 74536.

LCM(74516,74536) = 2³ × 13¹ × 1433¹ × 7¹ × 11³
LCM(74516,74536) = 1388531144