What is the Least Common Multiple of 60650 and 60659?
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 60650 and 60659 is 3678968350.
LCM(60650,60659) = 3678968350
Least Common Multiple of 60650 and 60659 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60650 and 60659, than apply into the LCM equation.
GCF(60650,60659) = 1
LCM(60650,60659) = ( 60650 × 60659) / 1
LCM(60650,60659) = 3678968350 / 1
LCM(60650,60659) = 3678968350
Least Common Multiple (LCM) of 60650 and 60659 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60650 and 60659. First we will calculate the prime factors of 60650 and 60659.
Prime Factorization of 60650
Prime factors of 60650 are 2, 5, 1213. Prime factorization of 60650 in exponential form is:
60650 = 21 × 52 × 12131
Prime Factorization of 60659
Prime factors of 60659 are 60659. Prime factorization of 60659 in exponential form is:
60659 = 606591
Now multiplying the highest exponent prime factors to calculate the LCM of 60650 and 60659.
LCM(60650,60659) = 21 × 52 × 12131 × 606591
LCM(60650,60659) = 3678968350
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