What is the Least Common Multiple of 62356 and 62373?

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 62356 and 62373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62356 and 62373, than apply into the LCM equation.

GCF(62356,62373) = 17
LCM(62356,62373) = ( 62356 × 62373) / 17
LCM(62356,62373) = 3889330788 / 17
LCM(62356,62373) = 228784164

Least Common Multiple (LCM) of 62356 and 62373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62356 and 62373. First we will calculate the prime factors of 62356 and 62373.

Prime Factorization of 62356

Prime Factorization of 62373

Now multiplying the highest exponent prime factors to calculate the LCM of 62356 and 62373.

LCM(62356,62373) = 2² × 7¹ × 17¹ × 131¹ × 3¹ × 1223¹
LCM(62356,62373) = 228784164