What is the Least Common Multiple of 87980 and 87992?

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 87980 and 87992 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87980 and 87992, than apply into the LCM equation.

GCF(87980,87992) = 4
LCM(87980,87992) = ( 87980 × 87992) / 4
LCM(87980,87992) = 7741536160 / 4
LCM(87980,87992) = 1935384040

Least Common Multiple (LCM) of 87980 and 87992 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87980 and 87992. First we will calculate the prime factors of 87980 and 87992.

Prime Factorization of 87980

Prime Factorization of 87992

Now multiplying the highest exponent prime factors to calculate the LCM of 87980 and 87992.

LCM(87980,87992) = 2³ × 5¹ × 53¹ × 83¹ × 17¹ × 647¹
LCM(87980,87992) = 1935384040