What is the Least Common Multiple of 60962 and 60981?
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 (LCM) of 60962 and 60981 is 3717523722.
LCM(60962,60981) = 3717523722
Least Common Multiple of 60962 and 60981 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60962 and 60981, than apply into the LCM equation.
GCF(60962,60981) = 1
LCM(60962,60981) = ( 60962 × 60981) / 1
LCM(60962,60981) = 3717523722 / 1
LCM(60962,60981) = 3717523722
Least Common Multiple (LCM) of 60962 and 60981 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60962 and 60981. First we will calculate the prime factors of 60962 and 60981.
Prime Factorization of 60962
Prime factors of 60962 are 2, 11, 17, 163. Prime factorization of 60962 in exponential form is:
60962 = 21 × 111 × 171 × 1631
Prime Factorization of 60981
Prime factors of 60981 are 3, 20327. Prime factorization of 60981 in exponential form is:
60981 = 31 × 203271
Now multiplying the highest exponent prime factors to calculate the LCM of 60962 and 60981.
LCM(60962,60981) = 21 × 111 × 171 × 1631 × 31 × 203271
LCM(60962,60981) = 3717523722
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