GCF and LCM Calculator Logo

What is the Least Common Multiple of 94991 and 94998?

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 94991 and 94998 is 9023955018.

LCM(94991,94998) = 9023955018

LCM Calculator and
and

Least Common Multiple of 94991 and 94998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94991 and 94998, than apply into the LCM equation.

GCF(94991,94998) = 1
LCM(94991,94998) = ( 94991 × 94998) / 1
LCM(94991,94998) = 9023955018 / 1
LCM(94991,94998) = 9023955018

Least Common Multiple (LCM) of 94991 and 94998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94991 and 94998. First we will calculate the prime factors of 94991 and 94998.

Prime Factorization of 94991

Prime factors of 94991 are 13, 7307. Prime factorization of 94991 in exponential form is:

94991 = 131 × 73071

Prime Factorization of 94998

Prime factors of 94998 are 2, 3, 71, 223. Prime factorization of 94998 in exponential form is:

94998 = 21 × 31 × 711 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 94991 and 94998.

LCM(94991,94998) = 131 × 73071 × 21 × 31 × 711 × 2231
LCM(94991,94998) = 9023955018