What is the Least Common Multiple of 60736 and 60753?

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 60736 and 60753 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60736 and 60753, than apply into the LCM equation.

GCF(60736,60753) = 1
LCM(60736,60753) = ( 60736 × 60753) / 1
LCM(60736,60753) = 3689894208 / 1
LCM(60736,60753) = 3689894208

Least Common Multiple (LCM) of 60736 and 60753 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60736 and 60753. First we will calculate the prime factors of 60736 and 60753.

Prime Factorization of 60736

Prime Factorization of 60753

Now multiplying the highest exponent prime factors to calculate the LCM of 60736 and 60753.

LCM(60736,60753) = 2⁶ × 13¹ × 73¹ × 3¹ × 7¹ × 11¹ × 263¹
LCM(60736,60753) = 3689894208