What is the Least Common Multiple of 91370 and 91390?

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 91370 and 91390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91370 and 91390, than apply into the LCM equation.

GCF(91370,91390) = 10
LCM(91370,91390) = ( 91370 × 91390) / 10
LCM(91370,91390) = 8350304300 / 10
LCM(91370,91390) = 835030430

Least Common Multiple (LCM) of 91370 and 91390 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91370 and 91390. First we will calculate the prime factors of 91370 and 91390.

Prime Factorization of 91370

Prime Factorization of 91390

Now multiplying the highest exponent prime factors to calculate the LCM of 91370 and 91390.

LCM(91370,91390) = 2¹ × 5¹ × 9137¹ × 13¹ × 19¹ × 37¹
LCM(91370,91390) = 835030430