What is the Least Common Multiple of 45614 and 45625?

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 45614 and 45625 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45614 and 45625, than apply into the LCM equation.

GCF(45614,45625) = 1
LCM(45614,45625) = ( 45614 × 45625) / 1
LCM(45614,45625) = 2081138750 / 1
LCM(45614,45625) = 2081138750

Least Common Multiple (LCM) of 45614 and 45625 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45614 and 45625. First we will calculate the prime factors of 45614 and 45625.

Prime Factorization of 45614

Prime Factorization of 45625

Now multiplying the highest exponent prime factors to calculate the LCM of 45614 and 45625.

LCM(45614,45625) = 2¹ × 22807¹ × 5⁴ × 73¹
LCM(45614,45625) = 2081138750