What is the Least Common Multiple of 30945 and 30951?

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 30945 and 30951 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30945 and 30951, than apply into the LCM equation.

GCF(30945,30951) = 3
LCM(30945,30951) = ( 30945 × 30951) / 3
LCM(30945,30951) = 957778695 / 3
LCM(30945,30951) = 319259565

Least Common Multiple (LCM) of 30945 and 30951 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 30945 and 30951. First we will calculate the prime factors of 30945 and 30951.

Prime Factorization of 30945

Prime Factorization of 30951

Now multiplying the highest exponent prime factors to calculate the LCM of 30945 and 30951.

LCM(30945,30951) = 3² × 5¹ × 2063¹ × 19¹ × 181¹
LCM(30945,30951) = 319259565