What is the Least Common Multiple of 28938 and 28945?

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 28938 and 28945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28938 and 28945, than apply into the LCM equation.

GCF(28938,28945) = 7
LCM(28938,28945) = ( 28938 × 28945) / 7
LCM(28938,28945) = 837610410 / 7
LCM(28938,28945) = 119658630

Least Common Multiple (LCM) of 28938 and 28945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28938 and 28945. First we will calculate the prime factors of 28938 and 28945.

Prime Factorization of 28938

Prime Factorization of 28945

Now multiplying the highest exponent prime factors to calculate the LCM of 28938 and 28945.

LCM(28938,28945) = 2¹ × 3¹ × 7¹ × 13¹ × 53¹ × 5¹ × 827¹
LCM(28938,28945) = 119658630