What is the Least Common Multiple of 87534 and 87542?

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 87534 and 87542 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87534 and 87542, than apply into the LCM equation.

GCF(87534,87542) = 2
LCM(87534,87542) = ( 87534 × 87542) / 2
LCM(87534,87542) = 7662901428 / 2
LCM(87534,87542) = 3831450714

Least Common Multiple (LCM) of 87534 and 87542 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87534 and 87542. First we will calculate the prime factors of 87534 and 87542.

Prime Factorization of 87534

Prime Factorization of 87542

Now multiplying the highest exponent prime factors to calculate the LCM of 87534 and 87542.

LCM(87534,87542) = 2¹ × 3³ × 1621¹ × 7¹ × 13² × 37¹
LCM(87534,87542) = 3831450714