What is the Least Common Multiple of 60776 and 60780?
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 60776 and 60780 is 923491320.
LCM(60776,60780) = 923491320
Least Common Multiple of 60776 and 60780 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 60776 and 60780, than apply into the LCM equation.
GCF(60776,60780) = 4
LCM(60776,60780) = ( 60776 × 60780) / 4
LCM(60776,60780) = 3693965280 / 4
LCM(60776,60780) = 923491320
Least Common Multiple (LCM) of 60776 and 60780 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 60776 and 60780. First we will calculate the prime factors of 60776 and 60780.
Prime Factorization of 60776
Prime factors of 60776 are 2, 71, 107. Prime factorization of 60776 in exponential form is:
60776 = 23 × 711 × 1071
Prime Factorization of 60780
Prime factors of 60780 are 2, 3, 5, 1013. Prime factorization of 60780 in exponential form is:
60780 = 22 × 31 × 51 × 10131
Now multiplying the highest exponent prime factors to calculate the LCM of 60776 and 60780.
LCM(60776,60780) = 23 × 711 × 1071 × 31 × 51 × 10131
LCM(60776,60780) = 923491320
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