What is the Least Common Multiple of 37884 and 37897?

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 37884 and 37897 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37884 and 37897, than apply into the LCM equation.

GCF(37884,37897) = 1
LCM(37884,37897) = ( 37884 × 37897) / 1
LCM(37884,37897) = 1435689948 / 1
LCM(37884,37897) = 1435689948

Least Common Multiple (LCM) of 37884 and 37897 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37884 and 37897. First we will calculate the prime factors of 37884 and 37897.

Prime Factorization of 37884

Prime Factorization of 37897

Now multiplying the highest exponent prime factors to calculate the LCM of 37884 and 37897.

LCM(37884,37897) = 2² × 3¹ × 7¹ × 11¹ × 41¹ × 37897¹
LCM(37884,37897) = 1435689948