What is the Least Common Multiple of 62328 and 62342?

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 62328 and 62342 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62328 and 62342, than apply into the LCM equation.

GCF(62328,62342) = 14
LCM(62328,62342) = ( 62328 × 62342) / 14
LCM(62328,62342) = 3885652176 / 14
LCM(62328,62342) = 277546584

Least Common Multiple (LCM) of 62328 and 62342 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62328 and 62342. First we will calculate the prime factors of 62328 and 62342.

Prime Factorization of 62328

Prime Factorization of 62342

Now multiplying the highest exponent prime factors to calculate the LCM of 62328 and 62342.

LCM(62328,62342) = 2³ × 3¹ × 7² × 53¹ × 61¹ × 73¹
LCM(62328,62342) = 277546584