What is the Least Common Multiple of 94983 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 of 94983 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 94983 and 94998, than apply into the LCM equation.

GCF(94983,94998) = 3
LCM(94983,94998) = ( 94983 × 94998) / 3
LCM(94983,94998) = 9023195034 / 3
LCM(94983,94998) = 3007731678

Least Common Multiple (LCM) of 94983 and 94998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94983 and 94998. First we will calculate the prime factors of 94983 and 94998.

Prime Factorization of 94983

Prime Factorization of 94998

Now multiplying the highest exponent prime factors to calculate the LCM of 94983 and 94998.

LCM(94983,94998) = 3¹ × 7¹ × 4523¹ × 2¹ × 71¹ × 223¹
LCM(94983,94998) = 3007731678