What is the Least Common Multiple of 87950 and 87968?

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 87950 and 87968 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87950 and 87968, than apply into the LCM equation.

GCF(87950,87968) = 2
LCM(87950,87968) = ( 87950 × 87968) / 2
LCM(87950,87968) = 7736785600 / 2
LCM(87950,87968) = 3868392800

Least Common Multiple (LCM) of 87950 and 87968 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87950 and 87968. First we will calculate the prime factors of 87950 and 87968.

Prime Factorization of 87950

Prime Factorization of 87968

Now multiplying the highest exponent prime factors to calculate the LCM of 87950 and 87968.

LCM(87950,87968) = 2⁵ × 5² × 1759¹ × 2749¹
LCM(87950,87968) = 3868392800