What is the Least Common Multiple of 60687 and 60695?
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 60687 and 60695 is 3683397465.
LCM(60687,60695) = 3683397465
Least Common Multiple of 60687 and 60695 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60687 and 60695, than apply into the LCM equation.
GCF(60687,60695) = 1
LCM(60687,60695) = ( 60687 × 60695) / 1
LCM(60687,60695) = 3683397465 / 1
LCM(60687,60695) = 3683397465
Least Common Multiple (LCM) of 60687 and 60695 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60687 and 60695. First we will calculate the prime factors of 60687 and 60695.
Prime Factorization of 60687
Prime factors of 60687 are 3, 11, 613. Prime factorization of 60687 in exponential form is:
60687 = 32 × 111 × 6131
Prime Factorization of 60695
Prime factors of 60695 are 5, 61, 199. Prime factorization of 60695 in exponential form is:
60695 = 51 × 611 × 1991
Now multiplying the highest exponent prime factors to calculate the LCM of 60687 and 60695.
LCM(60687,60695) = 32 × 111 × 6131 × 51 × 611 × 1991
LCM(60687,60695) = 3683397465
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