What is the Least Common Multiple of 87950 and 87962?

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 87962 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 87962, than apply into the LCM equation.

GCF(87950,87962) = 2
LCM(87950,87962) = ( 87950 × 87962) / 2
LCM(87950,87962) = 7736257900 / 2
LCM(87950,87962) = 3868128950

Least Common Multiple (LCM) of 87950 and 87962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87950 and 87962. First we will calculate the prime factors of 87950 and 87962.

Prime Factorization of 87950

Prime Factorization of 87962

Now multiplying the highest exponent prime factors to calculate the LCM of 87950 and 87962.

LCM(87950,87962) = 2¹ × 5² × 1759¹ × 7¹ × 61¹ × 103¹
LCM(87950,87962) = 3868128950