What is the Least Common Multiple of 62349 and 62355?

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 62349 and 62355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62349 and 62355, than apply into the LCM equation.

GCF(62349,62355) = 3
LCM(62349,62355) = ( 62349 × 62355) / 3
LCM(62349,62355) = 3887771895 / 3
LCM(62349,62355) = 1295923965

Least Common Multiple (LCM) of 62349 and 62355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62349 and 62355. First we will calculate the prime factors of 62349 and 62355.

Prime Factorization of 62349

Prime Factorization of 62355

Now multiplying the highest exponent prime factors to calculate the LCM of 62349 and 62355.

LCM(62349,62355) = 3¹ × 7¹ × 2969¹ × 5¹ × 4157¹
LCM(62349,62355) = 1295923965