What is the Least Common Multiple of 30714 and 30730?

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 30714 and 30730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30714 and 30730, than apply into the LCM equation.

GCF(30714,30730) = 2
LCM(30714,30730) = ( 30714 × 30730) / 2
LCM(30714,30730) = 943841220 / 2
LCM(30714,30730) = 471920610

Least Common Multiple (LCM) of 30714 and 30730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30714 and 30730. First we will calculate the prime factors of 30714 and 30730.

Prime Factorization of 30714

Prime Factorization of 30730

Now multiplying the highest exponent prime factors to calculate the LCM of 30714 and 30730.

LCM(30714,30730) = 2¹ × 3¹ × 5119¹ × 5¹ × 7¹ × 439¹
LCM(30714,30730) = 471920610