What is the Least Common Multiple of 37072 and 37085?

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 37072 and 37085 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37072 and 37085, than apply into the LCM equation.

GCF(37072,37085) = 1
LCM(37072,37085) = ( 37072 × 37085) / 1
LCM(37072,37085) = 1374815120 / 1
LCM(37072,37085) = 1374815120

Least Common Multiple (LCM) of 37072 and 37085 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37072 and 37085. First we will calculate the prime factors of 37072 and 37085.

Prime Factorization of 37072

Prime Factorization of 37085

Now multiplying the highest exponent prime factors to calculate the LCM of 37072 and 37085.

LCM(37072,37085) = 2⁴ × 7¹ × 331¹ × 5¹ × 7417¹
LCM(37072,37085) = 1374815120