What is the Least Common Multiple of 62364 and 62376?

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 62364 and 62376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62364 and 62376, than apply into the LCM equation.

GCF(62364,62376) = 12
LCM(62364,62376) = ( 62364 × 62376) / 12
LCM(62364,62376) = 3890016864 / 12
LCM(62364,62376) = 324168072

Least Common Multiple (LCM) of 62364 and 62376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62364 and 62376. First we will calculate the prime factors of 62364 and 62376.

Prime Factorization of 62364

Prime Factorization of 62376

Now multiplying the highest exponent prime factors to calculate the LCM of 62364 and 62376.

LCM(62364,62376) = 2³ × 3¹ × 5197¹ × 23¹ × 113¹
LCM(62364,62376) = 324168072