What is the Least Common Multiple of 77366 and 77372?
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 77366 and 77372 is 2992981076.
LCM(77366,77372) = 2992981076
Least Common Multiple of 77366 and 77372 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77366 and 77372, than apply into the LCM equation.
GCF(77366,77372) = 2
LCM(77366,77372) = ( 77366 × 77372) / 2
LCM(77366,77372) = 5985962152 / 2
LCM(77366,77372) = 2992981076
Least Common Multiple (LCM) of 77366 and 77372 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77366 and 77372. First we will calculate the prime factors of 77366 and 77372.
Prime Factorization of 77366
Prime factors of 77366 are 2, 101, 383. Prime factorization of 77366 in exponential form is:
77366 = 21 × 1011 × 3831
Prime Factorization of 77372
Prime factors of 77372 are 2, 23, 29. Prime factorization of 77372 in exponential form is:
77372 = 22 × 231 × 292
Now multiplying the highest exponent prime factors to calculate the LCM of 77366 and 77372.
LCM(77366,77372) = 22 × 1011 × 3831 × 231 × 292
LCM(77366,77372) = 2992981076
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