What is the Least Common Multiple of 94880 and 94892?

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 94880 and 94892 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94880 and 94892, than apply into the LCM equation.

GCF(94880,94892) = 4
LCM(94880,94892) = ( 94880 × 94892) / 4
LCM(94880,94892) = 9003352960 / 4
LCM(94880,94892) = 2250838240

Least Common Multiple (LCM) of 94880 and 94892 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94880 and 94892. First we will calculate the prime factors of 94880 and 94892.

Prime Factorization of 94880

Prime Factorization of 94892

Now multiplying the highest exponent prime factors to calculate the LCM of 94880 and 94892.

LCM(94880,94892) = 2⁵ × 5¹ × 593¹ × 7¹ × 3389¹
LCM(94880,94892) = 2250838240