What is the Least Common Multiple of 37065 and 37070?

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 37065 and 37070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37065 and 37070, than apply into the LCM equation.

GCF(37065,37070) = 5
LCM(37065,37070) = ( 37065 × 37070) / 5
LCM(37065,37070) = 1373999550 / 5
LCM(37065,37070) = 274799910

Least Common Multiple (LCM) of 37065 and 37070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37065 and 37070. First we will calculate the prime factors of 37065 and 37070.

Prime Factorization of 37065

Prime Factorization of 37070

Now multiplying the highest exponent prime factors to calculate the LCM of 37065 and 37070.

LCM(37065,37070) = 3¹ × 5¹ × 7¹ × 353¹ × 2¹ × 11¹ × 337¹
LCM(37065,37070) = 274799910