What is the Least Common Multiple of 58984 and 59002?

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 58984 and 59002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58984 and 59002, than apply into the LCM equation.

GCF(58984,59002) = 2
LCM(58984,59002) = ( 58984 × 59002) / 2
LCM(58984,59002) = 3480173968 / 2
LCM(58984,59002) = 1740086984

Least Common Multiple (LCM) of 58984 and 59002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58984 and 59002. First we will calculate the prime factors of 58984 and 59002.

Prime Factorization of 58984

Prime Factorization of 59002

Now multiplying the highest exponent prime factors to calculate the LCM of 58984 and 59002.

LCM(58984,59002) = 2³ × 73¹ × 101¹ × 29501¹
LCM(58984,59002) = 1740086984