What is the Least Common Multiple of 95748 and 95760?

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 95748 and 95760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95748 and 95760, than apply into the LCM equation.

GCF(95748,95760) = 12
LCM(95748,95760) = ( 95748 × 95760) / 12
LCM(95748,95760) = 9168828480 / 12
LCM(95748,95760) = 764069040

Least Common Multiple (LCM) of 95748 and 95760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95748 and 95760. First we will calculate the prime factors of 95748 and 95760.

Prime Factorization of 95748

Prime Factorization of 95760

Now multiplying the highest exponent prime factors to calculate the LCM of 95748 and 95760.

LCM(95748,95760) = 2⁴ × 3² × 79¹ × 101¹ × 5¹ × 7¹ × 19¹
LCM(95748,95760) = 764069040