What is the Least Common Multiple of 56966 and 56978?

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 56966 and 56978 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56966 and 56978, than apply into the LCM equation.

GCF(56966,56978) = 2
LCM(56966,56978) = ( 56966 × 56978) / 2
LCM(56966,56978) = 3245808748 / 2
LCM(56966,56978) = 1622904374

Least Common Multiple (LCM) of 56966 and 56978 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56966 and 56978. First we will calculate the prime factors of 56966 and 56978.

Prime Factorization of 56966

Prime Factorization of 56978

Now multiplying the highest exponent prime factors to calculate the LCM of 56966 and 56978.

LCM(56966,56978) = 2¹ × 7¹ × 13¹ × 313¹ × 31¹ × 919¹
LCM(56966,56978) = 1622904374