GCF and LCM Calculator Logo

What is the Least Common Multiple of 74700 and 74708?

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 74700 and 74708 is 1395171900.

LCM(74700,74708) = 1395171900

LCM Calculator and
and

Least Common Multiple of 74700 and 74708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74700 and 74708, than apply into the LCM equation.

GCF(74700,74708) = 4
LCM(74700,74708) = ( 74700 × 74708) / 4
LCM(74700,74708) = 5580687600 / 4
LCM(74700,74708) = 1395171900

Least Common Multiple (LCM) of 74700 and 74708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74700 and 74708. First we will calculate the prime factors of 74700 and 74708.

Prime Factorization of 74700

Prime factors of 74700 are 2, 3, 5, 83. Prime factorization of 74700 in exponential form is:

74700 = 22 × 32 × 52 × 831

Prime Factorization of 74708

Prime factors of 74708 are 2, 19, 983. Prime factorization of 74708 in exponential form is:

74708 = 22 × 191 × 9831

Now multiplying the highest exponent prime factors to calculate the LCM of 74700 and 74708.

LCM(74700,74708) = 22 × 32 × 52 × 831 × 191 × 9831
LCM(74700,74708) = 1395171900