What is the Least Common Multiple of 70939 and 70945?

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 70939 and 70945 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70939 and 70945, than apply into the LCM equation.

GCF(70939,70945) = 1
LCM(70939,70945) = ( 70939 × 70945) / 1
LCM(70939,70945) = 5032767355 / 1
LCM(70939,70945) = 5032767355

Least Common Multiple (LCM) of 70939 and 70945 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70939 and 70945. First we will calculate the prime factors of 70939 and 70945.

Prime Factorization of 70939

Prime Factorization of 70945

Now multiplying the highest exponent prime factors to calculate the LCM of 70939 and 70945.

LCM(70939,70945) = 11¹ × 6449¹ × 5¹ × 7¹ × 2027¹
LCM(70939,70945) = 5032767355