What is the Least Common Multiple of 94032 and 94052?

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 94032 and 94052 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94032 and 94052, than apply into the LCM equation.

GCF(94032,94052) = 4
LCM(94032,94052) = ( 94032 × 94052) / 4
LCM(94032,94052) = 8843897664 / 4
LCM(94032,94052) = 2210974416

Least Common Multiple (LCM) of 94032 and 94052 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94032 and 94052. First we will calculate the prime factors of 94032 and 94052.

Prime Factorization of 94032

Prime Factorization of 94052

Now multiplying the highest exponent prime factors to calculate the LCM of 94032 and 94052.

LCM(94032,94052) = 2⁴ × 3² × 653¹ × 7¹ × 3359¹
LCM(94032,94052) = 2210974416