What is the Least Common Multiple of 94380 and 94398?

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 94380 and 94398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94380 and 94398, than apply into the LCM equation.

GCF(94380,94398) = 6
LCM(94380,94398) = ( 94380 × 94398) / 6
LCM(94380,94398) = 8909283240 / 6
LCM(94380,94398) = 1484880540

Least Common Multiple (LCM) of 94380 and 94398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94380 and 94398. First we will calculate the prime factors of 94380 and 94398.

Prime Factorization of 94380

Prime Factorization of 94398

Now multiplying the highest exponent prime factors to calculate the LCM of 94380 and 94398.

LCM(94380,94398) = 2² × 3¹ × 5¹ × 11² × 13¹ × 15733¹
LCM(94380,94398) = 1484880540