What is the Least Common Multiple of 62820 and 62830?

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 62820 and 62830 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 62820 and 62830, than apply into the LCM equation.

GCF(62820,62830) = 10
LCM(62820,62830) = ( 62820 × 62830) / 10
LCM(62820,62830) = 3946980600 / 10
LCM(62820,62830) = 394698060

Least Common Multiple (LCM) of 62820 and 62830 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 62820 and 62830. First we will calculate the prime factors of 62820 and 62830.

Prime Factorization of 62820

Prime Factorization of 62830

Now multiplying the highest exponent prime factors to calculate the LCM of 62820 and 62830.

LCM(62820,62830) = 2² × 3² × 5¹ × 349¹ × 61¹ × 103¹
LCM(62820,62830) = 394698060