What is the Least Common Multiple of 58768 and 58787?

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 58768 and 58787 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 58768 and 58787, than apply into the LCM equation.

GCF(58768,58787) = 1
LCM(58768,58787) = ( 58768 × 58787) / 1
LCM(58768,58787) = 3454794416 / 1
LCM(58768,58787) = 3454794416

Least Common Multiple (LCM) of 58768 and 58787 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 58768 and 58787. First we will calculate the prime factors of 58768 and 58787.

Prime Factorization of 58768

Prime Factorization of 58787

Now multiplying the highest exponent prime factors to calculate the LCM of 58768 and 58787.

LCM(58768,58787) = 2⁴ × 3673¹ × 58787¹
LCM(58768,58787) = 3454794416