What is the Least Common Multiple of 94480 and 94494?

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 94480 and 94494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94480 and 94494, than apply into the LCM equation.

GCF(94480,94494) = 2
LCM(94480,94494) = ( 94480 × 94494) / 2
LCM(94480,94494) = 8927793120 / 2
LCM(94480,94494) = 4463896560

Least Common Multiple (LCM) of 94480 and 94494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94480 and 94494. First we will calculate the prime factors of 94480 and 94494.

Prime Factorization of 94480

Prime Factorization of 94494

Now multiplying the highest exponent prime factors to calculate the LCM of 94480 and 94494.

LCM(94480,94494) = 2⁴ × 5¹ × 1181¹ × 3¹ × 15749¹
LCM(94480,94494) = 4463896560