What is the Least Common Multiple of 4601 and 4607?

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 4601 and 4607 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4601 and 4607, than apply into the LCM equation.

GCF(4601,4607) = 1
LCM(4601,4607) = ( 4601 × 4607) / 1
LCM(4601,4607) = 21196807 / 1
LCM(4601,4607) = 21196807

Least Common Multiple (LCM) of 4601 and 4607 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4601 and 4607. First we will calculate the prime factors of 4601 and 4607.

Prime Factorization of 4601

Prime Factorization of 4607

Now multiplying the highest exponent prime factors to calculate the LCM of 4601 and 4607.

LCM(4601,4607) = 43¹ × 107¹ × 17¹ × 271¹
LCM(4601,4607) = 21196807