What is the Least Common Multiple of 27950 and 27970?

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 27950 and 27970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27950 and 27970, than apply into the LCM equation.

GCF(27950,27970) = 10
LCM(27950,27970) = ( 27950 × 27970) / 10
LCM(27950,27970) = 781761500 / 10
LCM(27950,27970) = 78176150

Least Common Multiple (LCM) of 27950 and 27970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27950 and 27970. First we will calculate the prime factors of 27950 and 27970.

Prime Factorization of 27950

Prime Factorization of 27970

Now multiplying the highest exponent prime factors to calculate the LCM of 27950 and 27970.

LCM(27950,27970) = 2¹ × 5² × 13¹ × 43¹ × 2797¹
LCM(27950,27970) = 78176150