What is the Least Common Multiple of 60943 and 60947?
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 60943 and 60947 is 3714293021.
LCM(60943,60947) = 3714293021
Least Common Multiple of 60943 and 60947 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60943 and 60947, than apply into the LCM equation.
GCF(60943,60947) = 1
LCM(60943,60947) = ( 60943 × 60947) / 1
LCM(60943,60947) = 3714293021 / 1
LCM(60943,60947) = 3714293021
Least Common Multiple (LCM) of 60943 and 60947 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60943 and 60947. First we will calculate the prime factors of 60943 and 60947.
Prime Factorization of 60943
Prime factors of 60943 are 60943. Prime factorization of 60943 in exponential form is:
60943 = 609431
Prime Factorization of 60947
Prime factors of 60947 are 59, 1033. Prime factorization of 60947 in exponential form is:
60947 = 591 × 10331
Now multiplying the highest exponent prime factors to calculate the LCM of 60943 and 60947.
LCM(60943,60947) = 609431 × 591 × 10331
LCM(60943,60947) = 3714293021
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