What is the Least Common Multiple of 70532 and 70537?

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 70532 and 70537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70532 and 70537, than apply into the LCM equation.

GCF(70532,70537) = 1
LCM(70532,70537) = ( 70532 × 70537) / 1
LCM(70532,70537) = 4975115684 / 1
LCM(70532,70537) = 4975115684

Least Common Multiple (LCM) of 70532 and 70537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70532 and 70537. First we will calculate the prime factors of 70532 and 70537.

Prime Factorization of 70532

Prime Factorization of 70537

Now multiplying the highest exponent prime factors to calculate the LCM of 70532 and 70537.

LCM(70532,70537) = 2² × 7¹ × 11¹ × 229¹ × 70537¹
LCM(70532,70537) = 4975115684