What is the Least Common Multiple of 84905 and 84920?

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 84905 and 84920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 84905 and 84920, than apply into the LCM equation.

GCF(84905,84920) = 5
LCM(84905,84920) = ( 84905 × 84920) / 5
LCM(84905,84920) = 7210132600 / 5
LCM(84905,84920) = 1442026520

Least Common Multiple (LCM) of 84905 and 84920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 84905 and 84920. First we will calculate the prime factors of 84905 and 84920.

Prime Factorization of 84905

Prime Factorization of 84920

Now multiplying the highest exponent prime factors to calculate the LCM of 84905 and 84920.

LCM(84905,84920) = 5¹ × 16981¹ × 2³ × 11¹ × 193¹
LCM(84905,84920) = 1442026520