What is the Least Common Multiple of 62234 and 62240?

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 62234 and 62240 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62234 and 62240, than apply into the LCM equation.

GCF(62234,62240) = 2
LCM(62234,62240) = ( 62234 × 62240) / 2
LCM(62234,62240) = 3873444160 / 2
LCM(62234,62240) = 1936722080

Least Common Multiple (LCM) of 62234 and 62240 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62234 and 62240. First we will calculate the prime factors of 62234 and 62240.

Prime Factorization of 62234

Prime Factorization of 62240

Now multiplying the highest exponent prime factors to calculate the LCM of 62234 and 62240.

LCM(62234,62240) = 2⁵ × 29² × 37¹ × 5¹ × 389¹
LCM(62234,62240) = 1936722080