What is the Least Common Multiple of 65766 and 65776?
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 65766 and 65776 is 2162912208.
LCM(65766,65776) = 2162912208
Least Common Multiple of 65766 and 65776 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65766 and 65776, than apply into the LCM equation.
GCF(65766,65776) = 2
LCM(65766,65776) = ( 65766 × 65776) / 2
LCM(65766,65776) = 4325824416 / 2
LCM(65766,65776) = 2162912208
Least Common Multiple (LCM) of 65766 and 65776 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 65766 and 65776. First we will calculate the prime factors of 65766 and 65776.
Prime Factorization of 65766
Prime factors of 65766 are 2, 3, 97, 113. Prime factorization of 65766 in exponential form is:
65766 = 21 × 31 × 971 × 1131
Prime Factorization of 65776
Prime factors of 65776 are 2, 4111. Prime factorization of 65776 in exponential form is:
65776 = 24 × 41111
Now multiplying the highest exponent prime factors to calculate the LCM of 65766 and 65776.
LCM(65766,65776) = 24 × 31 × 971 × 1131 × 41111
LCM(65766,65776) = 2162912208
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