What is the Least Common Multiple of 76920 and 76933?
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 76920 and 76933 is 5917686360.
LCM(76920,76933) = 5917686360
Least Common Multiple of 76920 and 76933 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76920 and 76933, than apply into the LCM equation.
GCF(76920,76933) = 1
LCM(76920,76933) = ( 76920 × 76933) / 1
LCM(76920,76933) = 5917686360 / 1
LCM(76920,76933) = 5917686360
Least Common Multiple (LCM) of 76920 and 76933 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76920 and 76933. First we will calculate the prime factors of 76920 and 76933.
Prime Factorization of 76920
Prime factors of 76920 are 2, 3, 5, 641. Prime factorization of 76920 in exponential form is:
76920 = 23 × 31 × 51 × 6411
Prime Factorization of 76933
Prime factors of 76933 are 107, 719. Prime factorization of 76933 in exponential form is:
76933 = 1071 × 7191
Now multiplying the highest exponent prime factors to calculate the LCM of 76920 and 76933.
LCM(76920,76933) = 23 × 31 × 51 × 6411 × 1071 × 7191
LCM(76920,76933) = 5917686360
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