What is the Least Common Multiple of 60735 and 60755?

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 60735 and 60755 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60735 and 60755, than apply into the LCM equation.

GCF(60735,60755) = 5
LCM(60735,60755) = ( 60735 × 60755) / 5
LCM(60735,60755) = 3689954925 / 5
LCM(60735,60755) = 737990985

Least Common Multiple (LCM) of 60735 and 60755 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60735 and 60755. First we will calculate the prime factors of 60735 and 60755.

Prime Factorization of 60735

Prime Factorization of 60755

Now multiplying the highest exponent prime factors to calculate the LCM of 60735 and 60755.

LCM(60735,60755) = 3¹ × 5¹ × 4049¹ × 29¹ × 419¹
LCM(60735,60755) = 737990985