What is the Least Common Multiple of 7938 and 7945?

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 7938 and 7945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7938 and 7945, than apply into the LCM equation.

GCF(7938,7945) = 7
LCM(7938,7945) = ( 7938 × 7945) / 7
LCM(7938,7945) = 63067410 / 7
LCM(7938,7945) = 9009630

Least Common Multiple (LCM) of 7938 and 7945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7938 and 7945. First we will calculate the prime factors of 7938 and 7945.

Prime Factorization of 7938

Prime Factorization of 7945

Now multiplying the highest exponent prime factors to calculate the LCM of 7938 and 7945.

LCM(7938,7945) = 2¹ × 3⁴ × 7² × 5¹ × 227¹
LCM(7938,7945) = 9009630