What is the Least Common Multiple of 30930 and 30945?

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 30930 and 30945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30930 and 30945, than apply into the LCM equation.

GCF(30930,30945) = 15
LCM(30930,30945) = ( 30930 × 30945) / 15
LCM(30930,30945) = 957128850 / 15
LCM(30930,30945) = 63808590

Least Common Multiple (LCM) of 30930 and 30945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30930 and 30945. First we will calculate the prime factors of 30930 and 30945.

Prime Factorization of 30930

Prime Factorization of 30945

Now multiplying the highest exponent prime factors to calculate the LCM of 30930 and 30945.

LCM(30930,30945) = 2¹ × 3¹ × 5¹ × 1031¹ × 2063¹
LCM(30930,30945) = 63808590