What is the Least Common Multiple of 60772 and 60791?
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 60772 and 60791 is 3694390652.
LCM(60772,60791) = 3694390652
Least Common Multiple of 60772 and 60791 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60772 and 60791, than apply into the LCM equation.
GCF(60772,60791) = 1
LCM(60772,60791) = ( 60772 × 60791) / 1
LCM(60772,60791) = 3694390652 / 1
LCM(60772,60791) = 3694390652
Least Common Multiple (LCM) of 60772 and 60791 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60772 and 60791. First we will calculate the prime factors of 60772 and 60791.
Prime Factorization of 60772
Prime factors of 60772 are 2, 15193. Prime factorization of 60772 in exponential form is:
60772 = 22 × 151931
Prime Factorization of 60791
Prime factors of 60791 are 31, 37, 53. Prime factorization of 60791 in exponential form is:
60791 = 311 × 371 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 60772 and 60791.
LCM(60772,60791) = 22 × 151931 × 311 × 371 × 531
LCM(60772,60791) = 3694390652
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