What is the Least Common Multiple of 74978 and 74998?

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 74978 and 74998 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74978 and 74998, than apply into the LCM equation.

GCF(74978,74998) = 2
LCM(74978,74998) = ( 74978 × 74998) / 2
LCM(74978,74998) = 5623200044 / 2
LCM(74978,74998) = 2811600022

Least Common Multiple (LCM) of 74978 and 74998 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74978 and 74998. First we will calculate the prime factors of 74978 and 74998.

Prime Factorization of 74978

Prime Factorization of 74998

Now multiplying the highest exponent prime factors to calculate the LCM of 74978 and 74998.

LCM(74978,74998) = 2¹ × 37489¹ × 7¹ × 11¹ × 487¹
LCM(74978,74998) = 2811600022