What is the Least Common Multiple of 60945 and 60960?

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 60945 and 60960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60945 and 60960, than apply into the LCM equation.

GCF(60945,60960) = 15
LCM(60945,60960) = ( 60945 × 60960) / 15
LCM(60945,60960) = 3715207200 / 15
LCM(60945,60960) = 247680480

Least Common Multiple (LCM) of 60945 and 60960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 60945 and 60960. First we will calculate the prime factors of 60945 and 60960.

Prime Factorization of 60945

Prime Factorization of 60960

Now multiplying the highest exponent prime factors to calculate the LCM of 60945 and 60960.

LCM(60945,60960) = 3¹ × 5¹ × 17¹ × 239¹ × 2⁵ × 127¹
LCM(60945,60960) = 247680480