What is the Least Common Multiple of 60905 and 60920?

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 60905 and 60920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60905 and 60920, than apply into the LCM equation.

GCF(60905,60920) = 5
LCM(60905,60920) = ( 60905 × 60920) / 5
LCM(60905,60920) = 3710332600 / 5
LCM(60905,60920) = 742066520

Least Common Multiple (LCM) of 60905 and 60920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60905 and 60920. First we will calculate the prime factors of 60905 and 60920.

Prime Factorization of 60905

Prime Factorization of 60920

Now multiplying the highest exponent prime factors to calculate the LCM of 60905 and 60920.

LCM(60905,60920) = 5¹ × 13¹ × 937¹ × 2³ × 1523¹
LCM(60905,60920) = 742066520