What is the Least Common Multiple of 52984 and 53002?

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 52984 and 53002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52984 and 53002, than apply into the LCM equation.

GCF(52984,53002) = 2
LCM(52984,53002) = ( 52984 × 53002) / 2
LCM(52984,53002) = 2808257968 / 2
LCM(52984,53002) = 1404128984

Least Common Multiple (LCM) of 52984 and 53002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52984 and 53002. First we will calculate the prime factors of 52984 and 53002.

Prime Factorization of 52984

Prime Factorization of 53002

Now multiplying the highest exponent prime factors to calculate the LCM of 52984 and 53002.

LCM(52984,53002) = 2³ × 37¹ × 179¹ × 26501¹
LCM(52984,53002) = 1404128984