What is the Least Common Multiple of 81870 and 81890?

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 81870 and 81890 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81870 and 81890, than apply into the LCM equation.

GCF(81870,81890) = 10
LCM(81870,81890) = ( 81870 × 81890) / 10
LCM(81870,81890) = 6704334300 / 10
LCM(81870,81890) = 670433430

Least Common Multiple (LCM) of 81870 and 81890 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81870 and 81890. First we will calculate the prime factors of 81870 and 81890.

Prime Factorization of 81870

Prime Factorization of 81890

Now multiplying the highest exponent prime factors to calculate the LCM of 81870 and 81890.

LCM(81870,81890) = 2¹ × 3¹ × 5¹ × 2729¹ × 19¹ × 431¹
LCM(81870,81890) = 670433430