What is the Least Common Multiple of 95946 and 95960?

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 95946 and 95960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95946 and 95960, than apply into the LCM equation.

GCF(95946,95960) = 2
LCM(95946,95960) = ( 95946 × 95960) / 2
LCM(95946,95960) = 9206978160 / 2
LCM(95946,95960) = 4603489080

Least Common Multiple (LCM) of 95946 and 95960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95946 and 95960. First we will calculate the prime factors of 95946 and 95960.

Prime Factorization of 95946

Prime Factorization of 95960

Now multiplying the highest exponent prime factors to calculate the LCM of 95946 and 95960.

LCM(95946,95960) = 2³ × 3¹ × 15991¹ × 5¹ × 2399¹
LCM(95946,95960) = 4603489080