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What is the Least Common Multiple of 74767 and 74778?

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 74767 and 74778 is 508266066.

LCM(74767,74778) = 508266066

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Least Common Multiple of 74767 and 74778 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74767 and 74778, than apply into the LCM equation.

GCF(74767,74778) = 11
LCM(74767,74778) = ( 74767 × 74778) / 11
LCM(74767,74778) = 5590926726 / 11
LCM(74767,74778) = 508266066

Least Common Multiple (LCM) of 74767 and 74778 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74767 and 74778. First we will calculate the prime factors of 74767 and 74778.

Prime Factorization of 74767

Prime factors of 74767 are 7, 11, 971. Prime factorization of 74767 in exponential form is:

74767 = 71 × 111 × 9711

Prime Factorization of 74778

Prime factors of 74778 are 2, 3, 11, 103. Prime factorization of 74778 in exponential form is:

74778 = 21 × 31 × 112 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 74767 and 74778.

LCM(74767,74778) = 71 × 112 × 9711 × 21 × 31 × 1031
LCM(74767,74778) = 508266066