What is the Least Common Multiple of 62220 and 62235?

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 62220 and 62235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62220 and 62235, than apply into the LCM equation.

GCF(62220,62235) = 15
LCM(62220,62235) = ( 62220 × 62235) / 15
LCM(62220,62235) = 3872261700 / 15
LCM(62220,62235) = 258150780

Least Common Multiple (LCM) of 62220 and 62235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62220 and 62235. First we will calculate the prime factors of 62220 and 62235.

Prime Factorization of 62220

Prime Factorization of 62235

Now multiplying the highest exponent prime factors to calculate the LCM of 62220 and 62235.

LCM(62220,62235) = 2² × 3³ × 5¹ × 17¹ × 61¹ × 461¹
LCM(62220,62235) = 258150780