GCF and LCM Calculator Logo

What is the Least Common Multiple of 95079 and 95094?

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 95079 and 95094 is 3013814142.

LCM(95079,95094) = 3013814142

LCM Calculator and
and

Least Common Multiple of 95079 and 95094 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95079 and 95094, than apply into the LCM equation.

GCF(95079,95094) = 3
LCM(95079,95094) = ( 95079 × 95094) / 3
LCM(95079,95094) = 9041442426 / 3
LCM(95079,95094) = 3013814142

Least Common Multiple (LCM) of 95079 and 95094 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95079 and 95094. First we will calculate the prime factors of 95079 and 95094.

Prime Factorization of 95079

Prime factors of 95079 are 3, 41, 773. Prime factorization of 95079 in exponential form is:

95079 = 31 × 411 × 7731

Prime Factorization of 95094

Prime factors of 95094 are 2, 3, 587. Prime factorization of 95094 in exponential form is:

95094 = 21 × 34 × 5871

Now multiplying the highest exponent prime factors to calculate the LCM of 95079 and 95094.

LCM(95079,95094) = 34 × 411 × 7731 × 21 × 5871
LCM(95079,95094) = 3013814142