What is the Least Common Multiple of 87890 and 87901?

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 87890 and 87901 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87890 and 87901, than apply into the LCM equation.

GCF(87890,87901) = 11
LCM(87890,87901) = ( 87890 × 87901) / 11
LCM(87890,87901) = 7725618890 / 11
LCM(87890,87901) = 702328990

Least Common Multiple (LCM) of 87890 and 87901 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87890 and 87901. First we will calculate the prime factors of 87890 and 87901.

Prime Factorization of 87890

Prime Factorization of 87901

Now multiplying the highest exponent prime factors to calculate the LCM of 87890 and 87901.

LCM(87890,87901) = 2¹ × 5¹ × 11¹ × 17¹ × 47¹ × 61¹ × 131¹
LCM(87890,87901) = 702328990