What is the Least Common Multiple of 47760 and 47777?

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 47760 and 47777 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47760 and 47777, than apply into the LCM equation.

GCF(47760,47777) = 1
LCM(47760,47777) = ( 47760 × 47777) / 1
LCM(47760,47777) = 2281829520 / 1
LCM(47760,47777) = 2281829520

Least Common Multiple (LCM) of 47760 and 47777 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47760 and 47777. First we will calculate the prime factors of 47760 and 47777.

Prime Factorization of 47760

Prime Factorization of 47777

Now multiplying the highest exponent prime factors to calculate the LCM of 47760 and 47777.

LCM(47760,47777) = 2⁴ × 3¹ × 5¹ × 199¹ × 47777¹
LCM(47760,47777) = 2281829520