What is the Least Common Multiple of 52978 and 52990?

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 52978 and 52990 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52978 and 52990, than apply into the LCM equation.

GCF(52978,52990) = 2
LCM(52978,52990) = ( 52978 × 52990) / 2
LCM(52978,52990) = 2807304220 / 2
LCM(52978,52990) = 1403652110

Least Common Multiple (LCM) of 52978 and 52990 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52978 and 52990. First we will calculate the prime factors of 52978 and 52990.

Prime Factorization of 52978

Prime Factorization of 52990

Now multiplying the highest exponent prime factors to calculate the LCM of 52978 and 52990.

LCM(52978,52990) = 2¹ × 26489¹ × 5¹ × 7¹ × 757¹
LCM(52978,52990) = 1403652110