What is the Least Common Multiple of 95574 and 95580?

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 95574 and 95580 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95574 and 95580, than apply into the LCM equation.

GCF(95574,95580) = 6
LCM(95574,95580) = ( 95574 × 95580) / 6
LCM(95574,95580) = 9134962920 / 6
LCM(95574,95580) = 1522493820

Least Common Multiple (LCM) of 95574 and 95580 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95574 and 95580. First we will calculate the prime factors of 95574 and 95580.

Prime Factorization of 95574

Prime Factorization of 95580

Now multiplying the highest exponent prime factors to calculate the LCM of 95574 and 95580.

LCM(95574,95580) = 2² × 3⁴ × 17¹ × 937¹ × 5¹ × 59¹
LCM(95574,95580) = 1522493820