What is the Least Common Multiple of 76920 and 76931?
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 76931 is 5917532520.
LCM(76920,76931) = 5917532520
Least Common Multiple of 76920 and 76931 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 76931, than apply into the LCM equation.
GCF(76920,76931) = 1
LCM(76920,76931) = ( 76920 × 76931) / 1
LCM(76920,76931) = 5917532520 / 1
LCM(76920,76931) = 5917532520
Least Common Multiple (LCM) of 76920 and 76931 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 76920 and 76931. First we will calculate the prime factors of 76920 and 76931.
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 76931
Prime factors of 76931 are 19, 4049. Prime factorization of 76931 in exponential form is:
76931 = 191 × 40491
Now multiplying the highest exponent prime factors to calculate the LCM of 76920 and 76931.
LCM(76920,76931) = 23 × 31 × 51 × 6411 × 191 × 40491
LCM(76920,76931) = 5917532520
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