What is the Least Common Multiple of 60769 and 60788?
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 60769 and 60788 is 3694025972.
LCM(60769,60788) = 3694025972
Least Common Multiple of 60769 and 60788 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60769 and 60788, than apply into the LCM equation.
GCF(60769,60788) = 1
LCM(60769,60788) = ( 60769 × 60788) / 1
LCM(60769,60788) = 3694025972 / 1
LCM(60769,60788) = 3694025972
Least Common Multiple (LCM) of 60769 and 60788 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60769 and 60788. First we will calculate the prime factors of 60769 and 60788.
Prime Factorization of 60769
Prime factors of 60769 are 67, 907. Prime factorization of 60769 in exponential form is:
60769 = 671 × 9071
Prime Factorization of 60788
Prime factors of 60788 are 2, 7, 13, 167. Prime factorization of 60788 in exponential form is:
60788 = 22 × 71 × 131 × 1671
Now multiplying the highest exponent prime factors to calculate the LCM of 60769 and 60788.
LCM(60769,60788) = 671 × 9071 × 22 × 71 × 131 × 1671
LCM(60769,60788) = 3694025972
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