What is the Least Common Multiple of 61890 and 61906?

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 61890 and 61906 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61890 and 61906, than apply into the LCM equation.

GCF(61890,61906) = 2
LCM(61890,61906) = ( 61890 × 61906) / 2
LCM(61890,61906) = 3831362340 / 2
LCM(61890,61906) = 1915681170

Least Common Multiple (LCM) of 61890 and 61906 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61890 and 61906. First we will calculate the prime factors of 61890 and 61906.

Prime Factorization of 61890

Prime Factorization of 61906

Now multiplying the highest exponent prime factors to calculate the LCM of 61890 and 61906.

LCM(61890,61906) = 2¹ × 3¹ × 5¹ × 2063¹ × 13¹ × 2381¹
LCM(61890,61906) = 1915681170