What is the Least Common Multiple of 36991 and 37005?

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 36991 and 37005 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 36991 and 37005, than apply into the LCM equation.

GCF(36991,37005) = 1
LCM(36991,37005) = ( 36991 × 37005) / 1
LCM(36991,37005) = 1368851955 / 1
LCM(36991,37005) = 1368851955

Least Common Multiple (LCM) of 36991 and 37005 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 36991 and 37005. First we will calculate the prime factors of 36991 and 37005.

Prime Factorization of 36991

Prime Factorization of 37005

Now multiplying the highest exponent prime factors to calculate the LCM of 36991 and 37005.

LCM(36991,37005) = 71¹ × 521¹ × 3¹ × 5¹ × 2467¹
LCM(36991,37005) = 1368851955