What is the Least Common Multiple of 77079 and 77092?
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 77079 and 77092 is 5942174268.
LCM(77079,77092) = 5942174268
Least Common Multiple of 77079 and 77092 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77079 and 77092, than apply into the LCM equation.
GCF(77079,77092) = 1
LCM(77079,77092) = ( 77079 × 77092) / 1
LCM(77079,77092) = 5942174268 / 1
LCM(77079,77092) = 5942174268
Least Common Multiple (LCM) of 77079 and 77092 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 77079 and 77092. First we will calculate the prime factors of 77079 and 77092.
Prime Factorization of 77079
Prime factors of 77079 are 3, 25693. Prime factorization of 77079 in exponential form is:
77079 = 31 × 256931
Prime Factorization of 77092
Prime factors of 77092 are 2, 19273. Prime factorization of 77092 in exponential form is:
77092 = 22 × 192731
Now multiplying the highest exponent prime factors to calculate the LCM of 77079 and 77092.
LCM(77079,77092) = 31 × 256931 × 22 × 192731
LCM(77079,77092) = 5942174268
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