What is the Least Common Multiple of 45675 and 45692?

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 45675 and 45692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45675 and 45692, than apply into the LCM equation.

GCF(45675,45692) = 1
LCM(45675,45692) = ( 45675 × 45692) / 1
LCM(45675,45692) = 2086982100 / 1
LCM(45675,45692) = 2086982100

Least Common Multiple (LCM) of 45675 and 45692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45675 and 45692. First we will calculate the prime factors of 45675 and 45692.

Prime Factorization of 45675

Prime Factorization of 45692

Now multiplying the highest exponent prime factors to calculate the LCM of 45675 and 45692.

LCM(45675,45692) = 3² × 5² × 7¹ × 29¹ × 2² × 11423¹
LCM(45675,45692) = 2086982100