What is the Least Common Multiple of 87892 and 87904?

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 87892 and 87904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87892 and 87904, than apply into the LCM equation.

GCF(87892,87904) = 4
LCM(87892,87904) = ( 87892 × 87904) / 4
LCM(87892,87904) = 7726058368 / 4
LCM(87892,87904) = 1931514592

Least Common Multiple (LCM) of 87892 and 87904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87892 and 87904. First we will calculate the prime factors of 87892 and 87904.

Prime Factorization of 87892

Prime Factorization of 87904

Now multiplying the highest exponent prime factors to calculate the LCM of 87892 and 87904.

LCM(87892,87904) = 2⁵ × 7¹ × 43¹ × 73¹ × 41¹ × 67¹
LCM(87892,87904) = 1931514592