What is the Least Common Multiple of 87942 and 87949?

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 87942 and 87949 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87942 and 87949, than apply into the LCM equation.

GCF(87942,87949) = 1
LCM(87942,87949) = ( 87942 × 87949) / 1
LCM(87942,87949) = 7734410958 / 1
LCM(87942,87949) = 7734410958

Least Common Multiple (LCM) of 87942 and 87949 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87942 and 87949. First we will calculate the prime factors of 87942 and 87949.

Prime Factorization of 87942

Prime Factorization of 87949

Now multiplying the highest exponent prime factors to calculate the LCM of 87942 and 87949.

LCM(87942,87949) = 2¹ × 3¹ × 14657¹ × 37¹ × 2377¹
LCM(87942,87949) = 7734410958