What is the Least Common Multiple of 87953 and 87962?

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 87953 and 87962 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87953 and 87962, than apply into the LCM equation.

GCF(87953,87962) = 1
LCM(87953,87962) = ( 87953 × 87962) / 1
LCM(87953,87962) = 7736521786 / 1
LCM(87953,87962) = 7736521786

Least Common Multiple (LCM) of 87953 and 87962 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87953 and 87962. First we will calculate the prime factors of 87953 and 87962.

Prime Factorization of 87953

Prime Factorization of 87962

Now multiplying the highest exponent prime factors to calculate the LCM of 87953 and 87962.

LCM(87953,87962) = 281¹ × 313¹ × 2¹ × 7¹ × 61¹ × 103¹
LCM(87953,87962) = 7736521786