What is the Least Common Multiple of 72352 and 72362?

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 72352 and 72362 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72352 and 72362, than apply into the LCM equation.

GCF(72352,72362) = 2
LCM(72352,72362) = ( 72352 × 72362) / 2
LCM(72352,72362) = 5235535424 / 2
LCM(72352,72362) = 2617767712

Least Common Multiple (LCM) of 72352 and 72362 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72352 and 72362. First we will calculate the prime factors of 72352 and 72362.

Prime Factorization of 72352

Prime Factorization of 72362

Now multiplying the highest exponent prime factors to calculate the LCM of 72352 and 72362.

LCM(72352,72362) = 2⁵ × 7¹ × 17¹ × 19¹ × 97¹ × 373¹
LCM(72352,72362) = 2617767712