What is the Least Common Multiple of 94290 and 94304?

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 94290 and 94304 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94290 and 94304, than apply into the LCM equation.

GCF(94290,94304) = 14
LCM(94290,94304) = ( 94290 × 94304) / 14
LCM(94290,94304) = 8891924160 / 14
LCM(94290,94304) = 635137440

Least Common Multiple (LCM) of 94290 and 94304 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94290 and 94304. First we will calculate the prime factors of 94290 and 94304.

Prime Factorization of 94290

Prime Factorization of 94304

Now multiplying the highest exponent prime factors to calculate the LCM of 94290 and 94304.

LCM(94290,94304) = 2⁵ × 3¹ × 5¹ × 7¹ × 449¹ × 421¹
LCM(94290,94304) = 635137440