What is the Least Common Multiple of 45677 and 45689?

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 45677 and 45689 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 45677 and 45689, than apply into the LCM equation.

GCF(45677,45689) = 1
LCM(45677,45689) = ( 45677 × 45689) / 1
LCM(45677,45689) = 2086936453 / 1
LCM(45677,45689) = 2086936453

Least Common Multiple (LCM) of 45677 and 45689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 45677 and 45689. First we will calculate the prime factors of 45677 and 45689.

Prime Factorization of 45677

Prime Factorization of 45689

Now multiplying the highest exponent prime factors to calculate the LCM of 45677 and 45689.

LCM(45677,45689) = 45677¹ × 7¹ × 61¹ × 107¹
LCM(45677,45689) = 2086936453