GCF and LCM Calculator Logo

What is the Least Common Multiple of 95048 and 95066?

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 (LCM) of 95048 and 95066 is 4517916584.

LCM(95048,95066) = 4517916584

LCM Calculator and
and

Least Common Multiple of 95048 and 95066 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95048 and 95066, than apply into the LCM equation.

GCF(95048,95066) = 2
LCM(95048,95066) = ( 95048 × 95066) / 2
LCM(95048,95066) = 9035833168 / 2
LCM(95048,95066) = 4517916584

Least Common Multiple (LCM) of 95048 and 95066 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95048 and 95066. First we will calculate the prime factors of 95048 and 95066.

Prime Factorization of 95048

Prime factors of 95048 are 2, 109. Prime factorization of 95048 in exponential form is:

95048 = 23 × 1092

Prime Factorization of 95066

Prime factors of 95066 are 2, 47533. Prime factorization of 95066 in exponential form is:

95066 = 21 × 475331

Now multiplying the highest exponent prime factors to calculate the LCM of 95048 and 95066.

LCM(95048,95066) = 23 × 1092 × 475331
LCM(95048,95066) = 4517916584