What is the Least Common Multiple of 70938 and 70943?

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 70938 and 70943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70938 and 70943, than apply into the LCM equation.

GCF(70938,70943) = 1
LCM(70938,70943) = ( 70938 × 70943) / 1
LCM(70938,70943) = 5032554534 / 1
LCM(70938,70943) = 5032554534

Least Common Multiple (LCM) of 70938 and 70943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70938 and 70943. First we will calculate the prime factors of 70938 and 70943.

Prime Factorization of 70938

Prime Factorization of 70943

Now multiplying the highest exponent prime factors to calculate the LCM of 70938 and 70943.

LCM(70938,70943) = 2¹ × 3² × 7¹ × 563¹ × 61¹ × 1163¹
LCM(70938,70943) = 5032554534