What is the Least Common Multiple of 37499 and 37507?

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 37499 and 37507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37499 and 37507, than apply into the LCM equation.

GCF(37499,37507) = 1
LCM(37499,37507) = ( 37499 × 37507) / 1
LCM(37499,37507) = 1406474993 / 1
LCM(37499,37507) = 1406474993

Least Common Multiple (LCM) of 37499 and 37507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37499 and 37507. First we will calculate the prime factors of 37499 and 37507.

Prime Factorization of 37499

Prime Factorization of 37507

Now multiplying the highest exponent prime factors to calculate the LCM of 37499 and 37507.

LCM(37499,37507) = 7¹ × 11¹ × 487¹ × 37507¹
LCM(37499,37507) = 1406474993