What is the Least Common Multiple of 91380 and 91400?

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 91380 and 91400 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91380 and 91400, than apply into the LCM equation.

GCF(91380,91400) = 20
LCM(91380,91400) = ( 91380 × 91400) / 20
LCM(91380,91400) = 8352132000 / 20
LCM(91380,91400) = 417606600

Least Common Multiple (LCM) of 91380 and 91400 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91380 and 91400. First we will calculate the prime factors of 91380 and 91400.

Prime Factorization of 91380

Prime Factorization of 91400

Now multiplying the highest exponent prime factors to calculate the LCM of 91380 and 91400.

LCM(91380,91400) = 2³ × 3¹ × 5² × 1523¹ × 457¹
LCM(91380,91400) = 417606600