What is the Least Common Multiple of 87742 and 87749?

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 87742 and 87749 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87742 and 87749, than apply into the LCM equation.

GCF(87742,87749) = 1
LCM(87742,87749) = ( 87742 × 87749) / 1
LCM(87742,87749) = 7699272758 / 1
LCM(87742,87749) = 7699272758

Least Common Multiple (LCM) of 87742 and 87749 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87742 and 87749. First we will calculate the prime factors of 87742 and 87749.

Prime Factorization of 87742

Prime Factorization of 87749

Now multiplying the highest exponent prime factors to calculate the LCM of 87742 and 87749.

LCM(87742,87749) = 2¹ × 19¹ × 2309¹ × 47¹ × 1867¹
LCM(87742,87749) = 7699272758