What is the Least Common Multiple of 27678 and 27692?

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 27678 and 27692 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27678 and 27692, than apply into the LCM equation.

GCF(27678,27692) = 14
LCM(27678,27692) = ( 27678 × 27692) / 14
LCM(27678,27692) = 766459176 / 14
LCM(27678,27692) = 54747084

Least Common Multiple (LCM) of 27678 and 27692 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27678 and 27692. First we will calculate the prime factors of 27678 and 27692.

Prime Factorization of 27678

Prime Factorization of 27692

Now multiplying the highest exponent prime factors to calculate the LCM of 27678 and 27692.

LCM(27678,27692) = 2² × 3¹ × 7¹ × 659¹ × 23¹ × 43¹
LCM(27678,27692) = 54747084