What is the Least Common Multiple of 91350 and 91357?

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 91350 and 91357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91350 and 91357, than apply into the LCM equation.

GCF(91350,91357) = 7
LCM(91350,91357) = ( 91350 × 91357) / 7
LCM(91350,91357) = 8345461950 / 7
LCM(91350,91357) = 1192208850

Least Common Multiple (LCM) of 91350 and 91357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91350 and 91357. First we will calculate the prime factors of 91350 and 91357.

Prime Factorization of 91350

Prime Factorization of 91357

Now multiplying the highest exponent prime factors to calculate the LCM of 91350 and 91357.

LCM(91350,91357) = 2¹ × 3² × 5² × 7¹ × 29¹ × 31¹ × 421¹
LCM(91350,91357) = 1192208850