What is the Least Common Multiple of 37760 and 37773?

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 37760 and 37773 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37760 and 37773, than apply into the LCM equation.

GCF(37760,37773) = 1
LCM(37760,37773) = ( 37760 × 37773) / 1
LCM(37760,37773) = 1426308480 / 1
LCM(37760,37773) = 1426308480

Least Common Multiple (LCM) of 37760 and 37773 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37760 and 37773. First we will calculate the prime factors of 37760 and 37773.

Prime Factorization of 37760

Prime Factorization of 37773

Now multiplying the highest exponent prime factors to calculate the LCM of 37760 and 37773.

LCM(37760,37773) = 2⁷ × 5¹ × 59¹ × 3³ × 1399¹
LCM(37760,37773) = 1426308480