GCF and LCM Calculator Logo

What is the Least Common Multiple of 94820 and 94825?

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 94820 and 94825 is 1798261300.

LCM(94820,94825) = 1798261300

LCM Calculator and
and

Least Common Multiple of 94820 and 94825 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94820 and 94825, than apply into the LCM equation.

GCF(94820,94825) = 5
LCM(94820,94825) = ( 94820 × 94825) / 5
LCM(94820,94825) = 8991306500 / 5
LCM(94820,94825) = 1798261300

Least Common Multiple (LCM) of 94820 and 94825 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94820 and 94825. First we will calculate the prime factors of 94820 and 94825.

Prime Factorization of 94820

Prime factors of 94820 are 2, 5, 11, 431. Prime factorization of 94820 in exponential form is:

94820 = 22 × 51 × 111 × 4311

Prime Factorization of 94825

Prime factors of 94825 are 5, 3793. Prime factorization of 94825 in exponential form is:

94825 = 52 × 37931

Now multiplying the highest exponent prime factors to calculate the LCM of 94820 and 94825.

LCM(94820,94825) = 22 × 52 × 111 × 4311 × 37931
LCM(94820,94825) = 1798261300