What is the Least Common Multiple of 92938 and 92945?

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 92938 and 92945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92938 and 92945, than apply into the LCM equation.

GCF(92938,92945) = 1
LCM(92938,92945) = ( 92938 × 92945) / 1
LCM(92938,92945) = 8638122410 / 1
LCM(92938,92945) = 8638122410

Least Common Multiple (LCM) of 92938 and 92945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 92938 and 92945. First we will calculate the prime factors of 92938 and 92945.

Prime Factorization of 92938

Prime Factorization of 92945

Now multiplying the highest exponent prime factors to calculate the LCM of 92938 and 92945.

LCM(92938,92945) = 2¹ × 31¹ × 1499¹ × 5¹ × 29¹ × 641¹
LCM(92938,92945) = 8638122410