What is the Least Common Multiple of 45780 and 45790?

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 45790 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 45790, than apply into the LCM equation.

GCF(45780,45790) = 10
LCM(45780,45790) = ( 45780 × 45790) / 10
LCM(45780,45790) = 2096266200 / 10
LCM(45780,45790) = 209626620

Least Common Multiple (LCM) of 45780 and 45790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45780 and 45790. First we will calculate the prime factors of 45780 and 45790.

Prime Factorization of 45780

Prime Factorization of 45790

Now multiplying the highest exponent prime factors to calculate the LCM of 45780 and 45790.

LCM(45780,45790) = 2² × 3¹ × 5¹ × 7¹ × 109¹ × 19¹ × 241¹
LCM(45780,45790) = 209626620