What is the Least Common Multiple of 77370 and 77384?
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 77370 and 77384 is 2993600040.
LCM(77370,77384) = 2993600040
Least Common Multiple of 77370 and 77384 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77370 and 77384, than apply into the LCM equation.
GCF(77370,77384) = 2
LCM(77370,77384) = ( 77370 × 77384) / 2
LCM(77370,77384) = 5987200080 / 2
LCM(77370,77384) = 2993600040
Least Common Multiple (LCM) of 77370 and 77384 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77370 and 77384. First we will calculate the prime factors of 77370 and 77384.
Prime Factorization of 77370
Prime factors of 77370 are 2, 3, 5, 2579. Prime factorization of 77370 in exponential form is:
77370 = 21 × 31 × 51 × 25791
Prime Factorization of 77384
Prime factors of 77384 are 2, 17, 569. Prime factorization of 77384 in exponential form is:
77384 = 23 × 171 × 5691
Now multiplying the highest exponent prime factors to calculate the LCM of 77370 and 77384.
LCM(77370,77384) = 23 × 31 × 51 × 25791 × 171 × 5691
LCM(77370,77384) = 2993600040
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