GCF and LCM Calculator Logo

What is the Least Common Multiple of 45667 and 45676?

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 45667 and 45676 is 2085885892.

LCM(45667,45676) = 2085885892

LCM Calculator and
and

Least Common Multiple of 45667 and 45676 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45667 and 45676, than apply into the LCM equation.

GCF(45667,45676) = 1
LCM(45667,45676) = ( 45667 × 45676) / 1
LCM(45667,45676) = 2085885892 / 1
LCM(45667,45676) = 2085885892

Least Common Multiple (LCM) of 45667 and 45676 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45667 and 45676. First we will calculate the prime factors of 45667 and 45676.

Prime Factorization of 45667

Prime factors of 45667 are 45667. Prime factorization of 45667 in exponential form is:

45667 = 456671

Prime Factorization of 45676

Prime factors of 45676 are 2, 19, 601. Prime factorization of 45676 in exponential form is:

45676 = 22 × 191 × 6011

Now multiplying the highest exponent prime factors to calculate the LCM of 45667 and 45676.

LCM(45667,45676) = 456671 × 22 × 191 × 6011
LCM(45667,45676) = 2085885892