What is the Least Common Multiple of 26070 and 26075?

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 26070 and 26075 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 26070 and 26075, than apply into the LCM equation.

GCF(26070,26075) = 5
LCM(26070,26075) = ( 26070 × 26075) / 5
LCM(26070,26075) = 679775250 / 5
LCM(26070,26075) = 135955050

Least Common Multiple (LCM) of 26070 and 26075 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 26070 and 26075. First we will calculate the prime factors of 26070 and 26075.

Prime Factorization of 26070

Prime Factorization of 26075

Now multiplying the highest exponent prime factors to calculate the LCM of 26070 and 26075.

LCM(26070,26075) = 2¹ × 3¹ × 5² × 11¹ × 79¹ × 7¹ × 149¹
LCM(26070,26075) = 135955050