What is the Least Common Multiple of 87054 and 87070?

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 87054 and 87070 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87054 and 87070, than apply into the LCM equation.

GCF(87054,87070) = 2
LCM(87054,87070) = ( 87054 × 87070) / 2
LCM(87054,87070) = 7579791780 / 2
LCM(87054,87070) = 3789895890

Least Common Multiple (LCM) of 87054 and 87070 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87054 and 87070. First we will calculate the prime factors of 87054 and 87070.

Prime Factorization of 87054

Prime Factorization of 87070

Now multiplying the highest exponent prime factors to calculate the LCM of 87054 and 87070.

LCM(87054,87070) = 2¹ × 3¹ × 11¹ × 1319¹ × 5¹ × 8707¹
LCM(87054,87070) = 3789895890