What is the Least Common Multiple of 74340 and 74355?

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 74340 and 74355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74340 and 74355, than apply into the LCM equation.

GCF(74340,74355) = 15
LCM(74340,74355) = ( 74340 × 74355) / 15
LCM(74340,74355) = 5527550700 / 15
LCM(74340,74355) = 368503380

Least Common Multiple (LCM) of 74340 and 74355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74340 and 74355. First we will calculate the prime factors of 74340 and 74355.

Prime Factorization of 74340

Prime Factorization of 74355

Now multiplying the highest exponent prime factors to calculate the LCM of 74340 and 74355.

LCM(74340,74355) = 2² × 3² × 5¹ × 7¹ × 59¹ × 4957¹
LCM(74340,74355) = 368503380