What is the Least Common Multiple of 45780 and 45792?

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 45780 and 45792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45780 and 45792, than apply into the LCM equation.

GCF(45780,45792) = 12
LCM(45780,45792) = ( 45780 × 45792) / 12
LCM(45780,45792) = 2096357760 / 12
LCM(45780,45792) = 174696480

Least Common Multiple (LCM) of 45780 and 45792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45780 and 45792. First we will calculate the prime factors of 45780 and 45792.

Prime Factorization of 45780

Prime Factorization of 45792

Now multiplying the highest exponent prime factors to calculate the LCM of 45780 and 45792.

LCM(45780,45792) = 2⁵ × 3³ × 5¹ × 7¹ × 109¹ × 53¹
LCM(45780,45792) = 174696480