What is the Least Common Multiple of 74516 and 74529?

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 74529 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 74529, than apply into the LCM equation.

GCF(74516,74529) = 13
LCM(74516,74529) = ( 74516 × 74529) / 13
LCM(74516,74529) = 5553602964 / 13
LCM(74516,74529) = 427200228

Least Common Multiple (LCM) of 74516 and 74529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74516 and 74529. First we will calculate the prime factors of 74516 and 74529.

Prime Factorization of 74516

Prime Factorization of 74529

Now multiplying the highest exponent prime factors to calculate the LCM of 74516 and 74529.

LCM(74516,74529) = 2² × 13² × 1433¹ × 3² × 7²
LCM(74516,74529) = 427200228