What is the Least Common Multiple of 27776 and 27790?

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 27776 and 27790 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27776 and 27790, than apply into the LCM equation.

GCF(27776,27790) = 14
LCM(27776,27790) = ( 27776 × 27790) / 14
LCM(27776,27790) = 771895040 / 14
LCM(27776,27790) = 55135360

Least Common Multiple (LCM) of 27776 and 27790 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27776 and 27790. First we will calculate the prime factors of 27776 and 27790.

Prime Factorization of 27776

Prime Factorization of 27790

Now multiplying the highest exponent prime factors to calculate the LCM of 27776 and 27790.

LCM(27776,27790) = 2⁷ × 7¹ × 31¹ × 5¹ × 397¹
LCM(27776,27790) = 55135360