What is the Least Common Multiple of 61953 and 61960?

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 61953 and 61960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61953 and 61960, than apply into the LCM equation.

GCF(61953,61960) = 1
LCM(61953,61960) = ( 61953 × 61960) / 1
LCM(61953,61960) = 3838607880 / 1
LCM(61953,61960) = 3838607880

Least Common Multiple (LCM) of 61953 and 61960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61953 and 61960. First we will calculate the prime factors of 61953 and 61960.

Prime Factorization of 61953

Prime Factorization of 61960

Now multiplying the highest exponent prime factors to calculate the LCM of 61953 and 61960.

LCM(61953,61960) = 3¹ × 107¹ × 193¹ × 2³ × 5¹ × 1549¹
LCM(61953,61960) = 3838607880