What is the Least Common Multiple of 53983 and 53987?

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 53983 and 53987 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53983 and 53987, than apply into the LCM equation.

GCF(53983,53987) = 1
LCM(53983,53987) = ( 53983 × 53987) / 1
LCM(53983,53987) = 2914380221 / 1
LCM(53983,53987) = 2914380221

Least Common Multiple (LCM) of 53983 and 53987 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53983 and 53987. First we will calculate the prime factors of 53983 and 53987.

Prime Factorization of 53983

Prime Factorization of 53987

Now multiplying the highest exponent prime factors to calculate the LCM of 53983 and 53987.

LCM(53983,53987) = 37¹ × 1459¹ × 53987¹
LCM(53983,53987) = 2914380221