What is the Least Common Multiple of 60790 and 60797?
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 60790 and 60797 is 3695849630.
LCM(60790,60797) = 3695849630
Least Common Multiple of 60790 and 60797 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60790 and 60797, than apply into the LCM equation.
GCF(60790,60797) = 1
LCM(60790,60797) = ( 60790 × 60797) / 1
LCM(60790,60797) = 3695849630 / 1
LCM(60790,60797) = 3695849630
Least Common Multiple (LCM) of 60790 and 60797 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60790 and 60797. First we will calculate the prime factors of 60790 and 60797.
Prime Factorization of 60790
Prime factors of 60790 are 2, 5, 6079. Prime factorization of 60790 in exponential form is:
60790 = 21 × 51 × 60791
Prime Factorization of 60797
Prime factors of 60797 are 11, 5527. Prime factorization of 60797 in exponential form is:
60797 = 111 × 55271
Now multiplying the highest exponent prime factors to calculate the LCM of 60790 and 60797.
LCM(60790,60797) = 21 × 51 × 60791 × 111 × 55271
LCM(60790,60797) = 3695849630
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