What is the Least Common Multiple of 94365 and 94380?

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 94365 and 94380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94365 and 94380, than apply into the LCM equation.

GCF(94365,94380) = 15
LCM(94365,94380) = ( 94365 × 94380) / 15
LCM(94365,94380) = 8906168700 / 15
LCM(94365,94380) = 593744580

Least Common Multiple (LCM) of 94365 and 94380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94365 and 94380. First we will calculate the prime factors of 94365 and 94380.

Prime Factorization of 94365

Prime Factorization of 94380

Now multiplying the highest exponent prime factors to calculate the LCM of 94365 and 94380.

LCM(94365,94380) = 3⁴ × 5¹ × 233¹ × 2² × 11² × 13¹
LCM(94365,94380) = 593744580