What is the Least Common Multiple of 26950 and 26970?

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 26950 and 26970 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26950 and 26970, than apply into the LCM equation.

GCF(26950,26970) = 10
LCM(26950,26970) = ( 26950 × 26970) / 10
LCM(26950,26970) = 726841500 / 10
LCM(26950,26970) = 72684150

Least Common Multiple (LCM) of 26950 and 26970 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26950 and 26970. First we will calculate the prime factors of 26950 and 26970.

Prime Factorization of 26950

Prime Factorization of 26970

Now multiplying the highest exponent prime factors to calculate the LCM of 26950 and 26970.

LCM(26950,26970) = 2¹ × 5² × 7² × 11¹ × 3¹ × 29¹ × 31¹
LCM(26950,26970) = 72684150