What is the Least Common Multiple of 77262 and 77268?
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 77262 and 77268 is 994980036.
LCM(77262,77268) = 994980036
Least Common Multiple of 77262 and 77268 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77262 and 77268, than apply into the LCM equation.
GCF(77262,77268) = 6
LCM(77262,77268) = ( 77262 × 77268) / 6
LCM(77262,77268) = 5969880216 / 6
LCM(77262,77268) = 994980036
Least Common Multiple (LCM) of 77262 and 77268 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77262 and 77268. First we will calculate the prime factors of 77262 and 77268.
Prime Factorization of 77262
Prime factors of 77262 are 2, 3, 79, 163. Prime factorization of 77262 in exponential form is:
77262 = 21 × 31 × 791 × 1631
Prime Factorization of 77268
Prime factors of 77268 are 2, 3, 47, 137. Prime factorization of 77268 in exponential form is:
77268 = 22 × 31 × 471 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 77262 and 77268.
LCM(77262,77268) = 22 × 31 × 791 × 1631 × 471 × 1371
LCM(77262,77268) = 994980036
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