What is the Least Common Multiple of 62130 and 62135?

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 62130 and 62135 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62130 and 62135, than apply into the LCM equation.

GCF(62130,62135) = 5
LCM(62130,62135) = ( 62130 × 62135) / 5
LCM(62130,62135) = 3860447550 / 5
LCM(62130,62135) = 772089510

Least Common Multiple (LCM) of 62130 and 62135 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62130 and 62135. First we will calculate the prime factors of 62130 and 62135.

Prime Factorization of 62130

Prime Factorization of 62135

Now multiplying the highest exponent prime factors to calculate the LCM of 62130 and 62135.

LCM(62130,62135) = 2¹ × 3¹ × 5¹ × 19¹ × 109¹ × 17² × 43¹
LCM(62130,62135) = 772089510