What is the Least Common Multiple of 94514 and 94528?

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 94514 and 94528 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94514 and 94528, than apply into the LCM equation.

GCF(94514,94528) = 14
LCM(94514,94528) = ( 94514 × 94528) / 14
LCM(94514,94528) = 8934219392 / 14
LCM(94514,94528) = 638158528

Least Common Multiple (LCM) of 94514 and 94528 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94514 and 94528. First we will calculate the prime factors of 94514 and 94528.

Prime Factorization of 94514

Prime Factorization of 94528

Now multiplying the highest exponent prime factors to calculate the LCM of 94514 and 94528.

LCM(94514,94528) = 2⁶ × 7¹ × 43¹ × 157¹ × 211¹
LCM(94514,94528) = 638158528