GCF and LCM Calculator Logo

What is the Least Common Multiple of 4607 and 4623?

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 (LCM) of 4607 and 4623 is 21298161.

LCM(4607,4623) = 21298161

LCM Calculator and
and

Least Common Multiple of 4607 and 4623 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4607 and 4623, than apply into the LCM equation.

GCF(4607,4623) = 1
LCM(4607,4623) = ( 4607 × 4623) / 1
LCM(4607,4623) = 21298161 / 1
LCM(4607,4623) = 21298161

Least Common Multiple (LCM) of 4607 and 4623 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4607 and 4623. First we will calculate the prime factors of 4607 and 4623.

Prime Factorization of 4607

Prime factors of 4607 are 17, 271. Prime factorization of 4607 in exponential form is:

4607 = 171 × 2711

Prime Factorization of 4623

Prime factors of 4623 are 3, 23, 67. Prime factorization of 4623 in exponential form is:

4623 = 31 × 231 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 4607 and 4623.

LCM(4607,4623) = 171 × 2711 × 31 × 231 × 671
LCM(4607,4623) = 21298161