What is the Least Common Multiple of 60420 and 60438?

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 60420 and 60438 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60420 and 60438, than apply into the LCM equation.

GCF(60420,60438) = 6
LCM(60420,60438) = ( 60420 × 60438) / 6
LCM(60420,60438) = 3651663960 / 6
LCM(60420,60438) = 608610660

Least Common Multiple (LCM) of 60420 and 60438 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60420 and 60438. First we will calculate the prime factors of 60420 and 60438.

Prime Factorization of 60420

Prime Factorization of 60438

Now multiplying the highest exponent prime factors to calculate the LCM of 60420 and 60438.

LCM(60420,60438) = 2² × 3¹ × 5¹ × 19¹ × 53¹ × 7¹ × 1439¹
LCM(60420,60438) = 608610660