What is the Least Common Multiple of 62220 and 62229?

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 62229 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 62229, than apply into the LCM equation.

GCF(62220,62229) = 3
LCM(62220,62229) = ( 62220 × 62229) / 3
LCM(62220,62229) = 3871888380 / 3
LCM(62220,62229) = 1290629460

Least Common Multiple (LCM) of 62220 and 62229 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62220 and 62229. First we will calculate the prime factors of 62220 and 62229.

Prime Factorization of 62220

Prime Factorization of 62229

Now multiplying the highest exponent prime factors to calculate the LCM of 62220 and 62229.

LCM(62220,62229) = 2² × 3¹ × 5¹ × 17¹ × 61¹ × 20743¹
LCM(62220,62229) = 1290629460