What is the Least Common Multiple of 87749 and 87761?

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 87749 and 87761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87749 and 87761, than apply into the LCM equation.

GCF(87749,87761) = 1
LCM(87749,87761) = ( 87749 × 87761) / 1
LCM(87749,87761) = 7700939989 / 1
LCM(87749,87761) = 7700939989

Least Common Multiple (LCM) of 87749 and 87761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87749 and 87761. First we will calculate the prime factors of 87749 and 87761.

Prime Factorization of 87749

Prime Factorization of 87761

Now multiplying the highest exponent prime factors to calculate the LCM of 87749 and 87761.

LCM(87749,87761) = 47¹ × 1867¹ × 19¹ × 31¹ × 149¹
LCM(87749,87761) = 7700939989