GCF and LCM Calculator Logo

What is the Least Common Multiple of 95041 and 95049?

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 95041 and 95049 is 9033552009.

LCM(95041,95049) = 9033552009

LCM Calculator and
and

Least Common Multiple of 95041 and 95049 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95041 and 95049, than apply into the LCM equation.

GCF(95041,95049) = 1
LCM(95041,95049) = ( 95041 × 95049) / 1
LCM(95041,95049) = 9033552009 / 1
LCM(95041,95049) = 9033552009

Least Common Multiple (LCM) of 95041 and 95049 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95041 and 95049. First we will calculate the prime factors of 95041 and 95049.

Prime Factorization of 95041

Prime factors of 95041 are 101, 941. Prime factorization of 95041 in exponential form is:

95041 = 1011 × 9411

Prime Factorization of 95049

Prime factors of 95049 are 3, 59, 179. Prime factorization of 95049 in exponential form is:

95049 = 32 × 591 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 95041 and 95049.

LCM(95041,95049) = 1011 × 9411 × 32 × 591 × 1791
LCM(95041,95049) = 9033552009