GCF and LCM Calculator Logo

What is the Least Common Multiple of 4699 and 4715?

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 4699 and 4715 is 22155785.

LCM(4699,4715) = 22155785

LCM Calculator and
and

Least Common Multiple of 4699 and 4715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4699 and 4715, than apply into the LCM equation.

GCF(4699,4715) = 1
LCM(4699,4715) = ( 4699 × 4715) / 1
LCM(4699,4715) = 22155785 / 1
LCM(4699,4715) = 22155785

Least Common Multiple (LCM) of 4699 and 4715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4699 and 4715. First we will calculate the prime factors of 4699 and 4715.

Prime Factorization of 4699

Prime factors of 4699 are 37, 127. Prime factorization of 4699 in exponential form is:

4699 = 371 × 1271

Prime Factorization of 4715

Prime factors of 4715 are 5, 23, 41. Prime factorization of 4715 in exponential form is:

4715 = 51 × 231 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 4699 and 4715.

LCM(4699,4715) = 371 × 1271 × 51 × 231 × 411
LCM(4699,4715) = 22155785