What is the Least Common Multiple of 60811 and 60815?
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 60811 and 60815 is 3698220965.
LCM(60811,60815) = 3698220965
Least Common Multiple of 60811 and 60815 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60811 and 60815, than apply into the LCM equation.
GCF(60811,60815) = 1
LCM(60811,60815) = ( 60811 × 60815) / 1
LCM(60811,60815) = 3698220965 / 1
LCM(60811,60815) = 3698220965
Least Common Multiple (LCM) of 60811 and 60815 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60811 and 60815. First we will calculate the prime factors of 60811 and 60815.
Prime Factorization of 60811
Prime factors of 60811 are 60811. Prime factorization of 60811 in exponential form is:
60811 = 608111
Prime Factorization of 60815
Prime factors of 60815 are 5, 12163. Prime factorization of 60815 in exponential form is:
60815 = 51 × 121631
Now multiplying the highest exponent prime factors to calculate the LCM of 60811 and 60815.
LCM(60811,60815) = 608111 × 51 × 121631
LCM(60811,60815) = 3698220965
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