What is the Least Common Multiple of 56978 and 56984?

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 56978 and 56984 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56978 and 56984, than apply into the LCM equation.

GCF(56978,56984) = 2
LCM(56978,56984) = ( 56978 × 56984) / 2
LCM(56978,56984) = 3246834352 / 2
LCM(56978,56984) = 1623417176

Least Common Multiple (LCM) of 56978 and 56984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56978 and 56984. First we will calculate the prime factors of 56978 and 56984.

Prime Factorization of 56978

Prime Factorization of 56984

Now multiplying the highest exponent prime factors to calculate the LCM of 56978 and 56984.

LCM(56978,56984) = 2³ × 31¹ × 919¹ × 17¹ × 419¹
LCM(56978,56984) = 1623417176