What is the Least Common Multiple of 62370 and 62388?

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 62370 and 62388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62370 and 62388, than apply into the LCM equation.

GCF(62370,62388) = 18
LCM(62370,62388) = ( 62370 × 62388) / 18
LCM(62370,62388) = 3891139560 / 18
LCM(62370,62388) = 216174420

Least Common Multiple (LCM) of 62370 and 62388 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62370 and 62388. First we will calculate the prime factors of 62370 and 62388.

Prime Factorization of 62370

Prime Factorization of 62388

Now multiplying the highest exponent prime factors to calculate the LCM of 62370 and 62388.

LCM(62370,62388) = 2² × 3⁴ × 5¹ × 7¹ × 11¹ × 1733¹
LCM(62370,62388) = 216174420