What is the Least Common Multiple of 37758 and 37777?

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 37758 and 37777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37758 and 37777, than apply into the LCM equation.

GCF(37758,37777) = 1
LCM(37758,37777) = ( 37758 × 37777) / 1
LCM(37758,37777) = 1426383966 / 1
LCM(37758,37777) = 1426383966

Least Common Multiple (LCM) of 37758 and 37777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37758 and 37777. First we will calculate the prime factors of 37758 and 37777.

Prime Factorization of 37758

Prime Factorization of 37777

Now multiplying the highest exponent prime factors to calculate the LCM of 37758 and 37777.

LCM(37758,37777) = 2¹ × 3¹ × 7¹ × 29¹ × 31¹ × 37¹ × 1021¹
LCM(37758,37777) = 1426383966